New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations.
Karimi, Hamid Reza, Zapateiro, Mauricio, Luo, Ningsu (2009)
Mathematical Problems in Engineering
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Karimi, Hamid Reza, Zapateiro, Mauricio, Luo, Ningsu (2009)
Mathematical Problems in Engineering
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Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
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This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
Silviu-Iulian Niculescu (2001)
Kybernetika
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This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.
Mahmoud, Magdi S. (1998)
Mathematical Problems in Engineering
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Ratchagit, K., Phat, Vu N. (2010)
Journal of Inequalities and Applications [electronic only]
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Li, Jun, Wu, Weigen, Yuan, Jimin, Tan, Qianrong, Yin, Xing (2010)
Discrete Dynamics in Nature and Society
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Józef Duda (2010)
Control and Cybernetics
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